Fractal convolution: A new operation between functions

@article{Navascus2019FractalCA,
  title={Fractal convolution: A new operation between functions},
  author={Mar{\'i}a A. Navascu{\'e}s and Peter R. Massopust},
  journal={Fractional Calculus and Applied Analysis},
  year={2019},
  volume={22},
  pages={619 - 643}
}
Abstract In this paper, we define an internal binary operation between functions called fractal convolution that when applied to a pair of mappings generates a fractal function. This is done by means of a suitably defined iterated function system. We study in detail this operation in 𝓛p spaces and in sets of continuous functions in a way that is different from the previous work of the authors. We develop some properties of the operation and its associated sets. The lateral convolutions with… 
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